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Q. No.Uncertainty in the position of a moving particle is 10-7 m and uncertainty velocity is 2.4 × 10-24 m/sec, then the mass of a particle is [X] × 10-5 kg.The value of X is:
[Report your answer to the nearest integer]
1. 26
2. 19
3. 28
4. 22
[Report your answer to the nearest integer]
1. 26
2. 19
3. 28
4. 22
Subtopic: Heisenberg Uncertainty Principle |
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Calculate the mass of the particle in grams, given that the uncertainty in velocity and position of a minute particle in space is \(\mathrm{2.4 × 10^{–26} \ m s^{–1} }\) and \(\mathrm{10^{–7} m}\) respectively:
[Given \(\left.: \mathrm{h}=6.626 \times 10^{-34} \mathrm{Js}\right)\)]
1. 27 g
2. 22 g
3. 46 g
4. 11 g
[Given \(\left.: \mathrm{h}=6.626 \times 10^{-34} \mathrm{Js}\right)\)]
1. 27 g
2. 22 g
3. 46 g
4. 11 g
Subtopic: Heisenberg Uncertainty Principle |
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The minimum uncertainty in the speed of an electron in an one dimensional region of length \(2 a_0\)
(Where \(\mathrm{a}_0= \mathrm{Bohr~ radius~ 52.9~ pm ) ~is } \):
(Given : Mass of electron =\(9.1 \times 10^{-31} \mathrm{~kg}\), Planck's constant \(\mathrm{h}=6.63 \times 10^{-34} \mathrm{Js} \))
1. 548 \(\mathrm{km} / \mathrm{s}\)
2. 643 \(\mathrm{km} / \mathrm{s}\)
3. 763 \(\mathrm{km} / \mathrm{s}\)
4. 823 \(\mathrm{km} / \mathrm{s}\)
(Where \(\mathrm{a}_0= \mathrm{Bohr~ radius~ 52.9~ pm ) ~is } \):
(Given : Mass of electron =\(9.1 \times 10^{-31} \mathrm{~kg}\), Planck's constant \(\mathrm{h}=6.63 \times 10^{-34} \mathrm{Js} \))
1. 548 \(\mathrm{km} / \mathrm{s}\)
2. 643 \(\mathrm{km} / \mathrm{s}\)
3. 763 \(\mathrm{km} / \mathrm{s}\)
4. 823 \(\mathrm{km} / \mathrm{s}\)
Subtopic: Heisenberg Uncertainty Principle |
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An accelerated electron, has a speed of \(5\times10^6~ \text{ms}^{–1}\) with an uncertainty of \(0.02\%.\) The uncertainty in finding its location, while in motion, is \(x\times10^{–9}~\text{m}.\)
Find the value of \(x\) : (Nearest integer)
[Given:
\(m_e\) \(\mathrm{= 9.1×10^{-31}~ Kg,~ h = 6.63 × 10^{-34}~Js, \pi= 3.14]}\)
1. 5.8
2. 58
3. 29
4. 0.58
Find the value of \(x\) : (Nearest integer)
[Given:
\(m_e\) \(\mathrm{= 9.1×10^{-31}~ Kg,~ h = 6.63 × 10^{-34}~Js, \pi= 3.14]}\)
1. 5.8
2. 58
3. 29
4. 0.58
Subtopic: Heisenberg Uncertainty Principle |
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Calculate the uncertainty in the velocity of a particle of mass 25 g,
given that the uncertainty in its position is 10⁻⁵ m and Planck’s constant is 6.6 × 10⁻³⁴ J·s.
1, 2.1 \(\times\) 10-28
2. 2.1 \(\times\) 10-34
3. 0.5 \(\times\) 10-34
4. 5.0 \(\times\) 10-24
Subtopic: Heisenberg Uncertainty Principle |
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Given that an electron in an atom moves at 600 m/s with an accuracy of 0.005%, what is the level of certainty in locating its position?
(h = 6.6 × 10–34 kg m2 s–1, mass of electron,
em = 9.1 ×10–31 kg) :
1. 1.52 × 10–4 m
2. 5.10 × 10–3 m
3. 1.92 × 10–3 m
4. 3.84 × 10–3 m
Subtopic: Heisenberg Uncertainty Principle |
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